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Finding the Third Proportional to 21,357 and 42,690

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Solution

The third proportional to 21,357 and 42,690 is: 85,332.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,357 : 42,690 = 42,690 : x
  2. Step 2: Convert to fraction form
    21,357/42,690 = 42,690/x
  3. Step 3: Cross multiply
    21,357x = 42,690 × 42,690
  4. Step 4: Simplify right side
    21,357x = 1,822,436,100
  5. Step 5: Solve for x
    x = 1,822,436,100/21,357
  6. Step 6: Final answer
    x = 85,332.03

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.